1990
DOI: 10.1016/0378-4371(90)90116-a
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Self-affine growth of bacterial colonies

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Cited by 204 publications
(121 citation statements)
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“…A few of them are thin film deposition [12], bacteria colony growth [13,14], fluid flow in porous media [15], turbulent liquid crystal [16,17], one dimensional polynuclear growth (PNG) [18,19,20,21], slow combustion of a sheet of paper [22,23]. In addition, many problems are equivalent to the KPZ equation, e.g., Burgers equation [24] describes the vorticity free velocity, directed polymer in random media [25,26] and in random potentials (DPRP) [27], sequence alignment of gene or protein [28,29], heat equation of multiplicative noise obtained via the Cole-Hopf transformation of the KPZ equation.…”
Section: Introductionmentioning
confidence: 99%
“…A few of them are thin film deposition [12], bacteria colony growth [13,14], fluid flow in porous media [15], turbulent liquid crystal [16,17], one dimensional polynuclear growth (PNG) [18,19,20,21], slow combustion of a sheet of paper [22,23]. In addition, many problems are equivalent to the KPZ equation, e.g., Burgers equation [24] describes the vorticity free velocity, directed polymer in random media [25,26] and in random potentials (DPRP) [27], sequence alignment of gene or protein [28,29], heat equation of multiplicative noise obtained via the Cole-Hopf transformation of the KPZ equation.…”
Section: Introductionmentioning
confidence: 99%
“…Originally devised to describe crystal growth, it has been since then applied to a wide range of systems, from bacterial growth [3,4] to directed polymers [5]. One of the essential features of the KPZ equation is its nonlinear term introduced in order to account for lateral growth beyond the linear approximation such as described by the Edwards-Wilkinson model [6].…”
Section: Introductionmentioning
confidence: 99%
“…While these assumptions are reasonable in many cases, on can find as many where they do not hold. Biology, for instance, is remarkable for its strong tendency towards the approximate spherical symmetry: bacterial colonies [2], fungi [3], plant calli [4], and tumors [5] develop rough interfaces that escape the hypothesis of traditional scaling analysis.…”
mentioning
confidence: 99%
“…Even bacterial colonies have been grown in this fashion [2], without knowing the relation between the scaling behavior in this geometry and the radial one that appears naturally. Tumors have been an exception to this rule [5] since they were grown from a seed and they acquired a radial interface during the evolution.…”
mentioning
confidence: 99%